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Radicals and polynomial rings
被引:3
|作者:
Beidar, KI
[1
]
Puczylowski, ER
Wiegandt, R
机构:
[1] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan
[2] Univ Warsaw, Inst Math, Warsaw, Poland
[3] Hungarian Acad Sci, Inst Math, Budapest, Hungary
基金:
匈牙利科学研究基金会;
关键词:
D O I:
10.1017/S1446788700003554
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We prove that polynomial rings in one indeterminate over nil rings are antiregular radical and uniformly strongly prime radical. These give some approximations of Kothe's problem. We also study the uniformly strongly prime and superprime radicals of polynomial rings in non-commuting indeterminates. Moreover, we show that the semi-uniformly strongly prime radical coincides with the uniformly strongly prime radical and that the class of semi-superprime rings is closed under taking finite subdirect sums.
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页码:23 / 31
页数:9
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